Title: Maps to spaces in the genus of infinite quaternionic projective space
Author: Donald Yau
MSC: 55S37, 55S25
Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street
Urbana, IL 61801
dyau@math.uiuc.edu
Spaces in the genus of infinite quaternionic projective space which
admit essential maps from infinite complex projective space are
classified. In these cases the sets of homotopy classes of maps are
described explicitly. These results strengthen the classical theorem of
McGibbon and Rector on maximal torus admissibility for spaces in the
genus of infinite quaternionic projective space. An interpretation of
these results in the context of Adams-Wilkerson embedding in integral
$K$-theory is also given.